[3/4*0.001t^4-1/3*0.01t^3-1/20.3t^2+4t]_0^12 eching

$$[ \frac { 3 } { 4 } \cdot 0.001 t ^ { 4 } - \frac { 1 } { 3 } \cdot 0.01 t ^ { 3 } - \frac { 1 } { 2 } 0.3 t ^ { 2 } + 4 t ] _ { 0 } ^ { 12 }$$

Baholash

$$\frac{3t^{4}}{4000}-\frac{t^{3}}{300}-\frac{3t^{2}}{20}+4t$$

Yechim qadamlari

\frac{3}{4000} hosil qilish uchun \frac{3}{4} va 0,001 ni ko'paytirish.

$$\frac{3}{4000}t^{4}-\frac{1}{3}\times 0,01t^{3}-\frac{1}{2}\times 0,3t^{2}+4t$$

\frac{1}{300} hosil qilish uchun \frac{1}{3} va 0,01 ni ko'paytirish.

$$\frac{3}{4000}t^{4}-\frac{1}{300}t^{3}-\frac{1}{2}\times 0,3t^{2}+4t$$

\frac{3}{20} hosil qilish uchun \frac{1}{2} va 0,3 ni ko'paytirish.

$$\frac{3}{4000}t^{4}-\frac{1}{300}t^{3}-\frac{3}{20}t^{2}+4t$$

Omil

$$\frac{t\left(9t^{3}-40t^{2}-1800t+48000\right)}{12000}$$

Yechim qadamlari

\frac{3}{4000} hosil qilish uchun \frac{3}{4} va 0,001 ni ko'paytirish.

$$factor(\frac{3}{4000}t^{4}-\frac{1}{3}\times 0,01t^{3}-\frac{1}{2}\times 0,3t^{2}+4t)$$

\frac{1}{300} hosil qilish uchun \frac{1}{3} va 0,01 ni ko'paytirish.

$$factor(\frac{3}{4000}t^{4}-\frac{1}{300}t^{3}-\frac{1}{2}\times 0,3t^{2}+4t)$$

\frac{3}{20} hosil qilish uchun \frac{1}{2} va 0,3 ni ko'paytirish.

$$factor(\frac{3}{4000}t^{4}-\frac{1}{300}t^{3}-\frac{3}{20}t^{2}+4t)$$

\frac{1}{12000} omili.

$$\frac{9t^{4}-40t^{3}-1800t^{2}+48000t}{12000}$$

Hisoblang: 9t^{4}-40t^{3}-1800t^{2}+48000t. t omili.

$$t\left(9t^{3}-40t^{2}-1800t+48000\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing. Koʻphadli 9t^{3}-40t^{2}-1800t+48000 faktorlanmagan, chunki unda ratsional ildizlar topilmadi.

$$\frac{t\left(9t^{3}-40t^{2}-1800t+48000\right)}{12000}$$